Problem

A large heated steel block (ρ = 7832 kg/m3, cp = 434 J/kg·K, k = 63.9 W/m·K, and α = 18.8...

A large heated steel block (ρ = 7832 kg/m3, cp = 434 J/kg·K, k = 63.9 W/m·K, and α = 18.8 × 10−6 m2/s) is allowed to cool in a room at 25°C. The steel block has an initial temperature of 450°C and the convection heat transfer coefficient is 25 W/m·K. Assuming that the steel block can be treated as a quarter-infinite medium, determine the temperature at the edge of the steel block after 10 min of cooling.

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